cat(0) cube complexes 1finite curve attractor conjecture 1measured foliations 1rational map dynamics 1teichmüller space 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DS2026
Puncture-Forgetting Maps for Measured Foliations and Applications in Teichmüller Space and Complex Dynamics
Jeremy Kahn, Insung Park
The paper defines puncture‑forgetting maps for measured foliations, studies their connections to mapping class groups, Teichmüller spaces, and CAT(0) cube complexes, and applies th…
math.DS2026
MLC for parabolically bounded primitive renormalization
Jeremy Kahn, Alex Kapiamba, Mikhail Lyubich
We prove bounds and MLC (local connectivity of the Mandelbrot set ) for a class of infinitely renormalizable parameters whose renormalization type…
math.GT2025
Surface Subgroups for Cocompact Lattices of Isometries of
Jeremy Kahn, Zhenghao Rao
We prove the existence of surface subgroups within any cocompact lattice in for . This result addresses the cases missing from the work of HamenstÃ…